POLYCET,TGRJC MATHS PREVIOUS MCQ TEST-3

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• Choose one option from the given 4 alternative options.
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• After attempting all the questions, click the Submit button.
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• Every correct answer gives 1 mark.
• Every wrong answer deducts 1/4 mark from your total score.

1/10

A quadratic equation whose one root is \(1 + \sqrt2 \) and the sum of its roots is 2, is

1)\( x^2-2x+1\)

2)\( x^2-2x-1\)

3)\( x^2+2x+1\)

4)\( x^2+2x-1\)

2/10

If \(x \lt 0\) ,\( y \lt 0 \) then the point \((-x^2,-y^3) \) lies in

1)\(Q_1 \)

2)\(Q_2 \)

3)\(Q_3 \)

4)\( Q_4\)

3/10

\(2(cos^460 ^\circ+sin^430^\circ)\)-\( (tan^260 ^\circ+cot^245^\circ) \)+\(3sec^230^\circ\)=

1)0

2)1

3)\(\frac{1}{2}\)

4)\(\frac{1}{4}\)

4/10

\(cosec^2\theta(1+cos\theta)(1-cos\theta)\)=\(\lambda\) then \(3\lambda^2+5\lambda-2\)=

1)10

2)1

3)0

4)6

5/10

\( \sqrt{-4+\sqrt{8+16cosec^4\theta+sin^4\theta}}\)=\(Acosec\theta+Bsin\theta\) then

1)A=2,B=1

2)A=2,B=-1

3)A=1,B=2

4)A=-1,B=2

6/10

If tanx=3cotx then x=
where \(0^\circ \le x \le 90^\circ\)

1)\(60^\circ\)

2)\(45^\circ\)

3)\(30^\circ\)

4)\(15^\circ\)

7/10

The mean of 2,7,6 and x is 15 and the mean of 18,1,6,x,y is 10 then \(\frac{x+y}{x-y}\)=

1)\(\frac{13}{8}\)

2)\(\frac{5}{13}\)

3)\(\frac{8}{13}\)

4)\(\frac{5}{13}\)

8/10

If three coins are tossed simultaneously what is probability of getting exactly two heads?

1)\(\frac{1}{2}\)

2)\(\frac{1}{4}\)

3)\(\frac{3}{8}\)

4)\(\frac{3}{4}\)

9/10

If 35 is removed from the data 30,34,35,36,37,38,39,40 then median increased by

1)2

2)1.5

3)1

4)0.5

10/10

A number is selected at random from first 50 natural numbers. Then the probability that it is a multiple of 3 and 4 is

1)\(\frac{16}{25}\)

2)\(\frac{2}{25}\)

3)\(\frac{12}{25}\)

4)\(\frac{3}{25}\)

Result: